document.write( "Question 153373: Two cars travel in opposite directions from the same point. The rate of one car is 10mph less than the rate of the other car. After 8 hours, the cars are 560 miles apart. Find the rate of each car. \n" ); document.write( "
Algebra.Com's Answer #112901 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Two cars travel in opposite directions from the same point. The rate of one car is 10mph less than the rate of the other car. After 8 hours, the cars are 560 miles apart. Find the rate of each car. \n" ); document.write( ". \n" ); document.write( "Let x = rate/speed of one car \n" ); document.write( "x-10 = rate/speed of the other car \n" ); document.write( ". \n" ); document.write( "8x + 8(x-10) = 560 \n" ); document.write( "Now, we solve for x: \n" ); document.write( "8x + 8x - 80 = 560 \n" ); document.write( "16x - 80 = 560 \n" ); document.write( "16x = 640 \n" ); document.write( "x = 640/16 \n" ); document.write( "x = 40 mph (speed of one car) \n" ); document.write( ". \n" ); document.write( "x-10 = 40-10 = 30 mph (speed of other car) \n" ); document.write( " |